Finite Math Examples

$x - 3 y = - 2$ , $y = 2$

Step 1

Replace all occurrences of $y$ with $2$ in each equation.

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Step 1.1

Replace all occurrences of $y$ in $x - 3 y = - 2$ with $2$ .

$x - 3 \cdot 2 = - 2$

$y = 2$

Step 1.2

Simplify the left side.

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Step 1.2.1

Multiply $- 3$ by $2$ .

$x - 6 = - 2$

$y = 2$

$x - 6 = - 2$

$y = 2$

$x - 6 = - 2$

$y = 2$

Step 2

Move all terms not containing $x$ to the right side of the equation.

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Step 2.1

Add $6$ to both sides of the equation.

$x = - 2 + 6$

$y = 2$

Step 2.2

Add $- 2$ and $6$ .

$x = 4$

$y = 2$

$x = 4$

$y = 2$

Step 3

Solve the system of equations.

$x = 4 y = 2$

Step 4

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(4, 2)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(4, 2)$

Equation Form:

$x = 4, y = 2$

Step 6